Suppose we have a relatively small number of voters and they know each other's positions in 1D issue
space. We will award some sort of legislative privilege or power to a subset of these voters. We ask
each voter to cast an approval vote to each of their own top X favorite voters (no more and no less
than X), and
then the top Y vote-getters receive the privilege. The values of X and Y are configurable. Assume all
the voters are sincere, and no one boycotts the procedure. What combinations of values are most successful at
identifying the center-most subset of voters?